In grade school i was taught that ln is always base e, and lg is always base 10. log has to always come with a subscript, otherwise it's meaningless on it's ow

In grade school i was taught that ln is always base e, and lg is always base 10. log has to always come with a subscript, otherwise it's meaningless on it's own. In "real life" though, everyone seems to be using log and knows what it means, e.g. base 2 if it's information theory, base 10 if it's signal processing, base e if it's analysis, discrete logarithm if it's number theory, etc.